A linear operator on a Hilbert space , in the classical approach of von Neumann, must be symmetric to guarantee self-adjointness. However, it can shown that symmetry could omitted by using criterion for graph and adjoint graph. Namely, S is densely defined closed if only . In more general setup, we consider relations instead operators prove this situation similar result holds. We give necessary...

We define an analog of Voiculescu’s free entropy for n-tuples of unitaries u1, . . . , un in a tracial von Neumann algebra M which normalize a unital subalgebra L[0, 1] = B ⊂ M. Using this quantity, we define the free dimension δ0(u1, . . . , un G B). This number depends on u1, . . . , un only up to orbit equivalence over B. In particular, if R is a measurable equivalence relation on [0, 1] gen...

The paper discusses some of the poorly explored links between conceptual systems logic in Kurt Gödel, theory automata Alan Turing, and self-reproducing John von Neumann. Traditional controversies are left aside (especially opposition Gödel Turing view mind) attention is focused on similarities all three authors. In individual chapters, text deals with: form differentiation syntax semantics form...

We study non-linear traces of the Choquet type and Sugeno on algebra compact operators. They have certain partial additivities. show that these additivities characterize both respectively. There exists a close relation between majorization theory. trace class operators for type. More generally we discuss Schatten–von Neumann p-class determine when they form Banach spaces. This is an attempt at ...

1 Svensk sammanfattning 5 Preface 9 Included empirical studies 11 Abbreviations 13 Definitions 15 Introduction 17 Theoretical framework 19 Organizational justice 19 Behavioural responses 21 Health 25 The relation between organizational justice and behavioural responses 27 The relation between organizational justice and health 30 The relation between behavioural responses and health 38 Conclusio...

Botrocetin, originally called venom coagglutinin, is a Bothrops factor that causes aggregation of blood platelets in the presence of the von Willebrand component of the factor VIII macromolecular complex. The complex consists of a series of multimers with a molecular weight of about 1-20 x 10(6). Ristocetin, another agent that causes platelet aggregation dependent on von Willebrand factor, reac...

Ontologien und Taxonomien sind kontrollierte, strukturierte Vokabulare für eine Domäne um Objekte darin zu beschreiben. Ontologien in der Biologie, wie beispielsweise die NCBI Taxonomie, die Klassifizierung von Lebewesen, oder die Gene Ontology sind als Bäume bzw. gerichtete, azyklische Graphen aufgebaut. Taxonomien werden häufig zusammen mit den annotierten Objekten in relationalen Datenbanken...

The von Kármán-Howarth equations are derived for three-dimensional (3D) Hall magnetohydrodynamics (MHD) in the case of an homogeneous and isotropic turbulence. From these equations, we derive exact scaling laws for the third-order correlation tensors. We show how these relations are compatible with previous heuristic and numerical results. These multi-scale laws provide a relevant tool to inves...

BACKGROUND Circulating levels of fibrinogen, fibrin D-dimer, C-reactive protein (CRP), tissue plasminogen activator antigen (t-PA) and von Willebrand factor are associated with incident coronary heart disease. We describe cross-sectional diurnal, seasonal, and blood-processing patterns for these variables, and assess whether they represent important sources of variability that should be taken i...